18774096000 has 768 divisors, whose sum is σ = 72050808960. Its totient is φ = 4285440000.

The previous prime is 18774095993. The next prime is 18774096001. The reversal of 18774096000 is 69047781.

It is not an unprimeable number, because it can be changed into a prime (18774096001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 507407982 + ... + 507408018.

Almost surely, 2^18774096000 is an apocalyptic number.

18774096000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18774096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36025404480).

18774096000 is an abundant number, since it is smaller than the sum of its proper divisors (53276712960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18774096000 is a wasteful number, since it uses less digits than its factorization.

18774096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The spelling of 18774096000 in words is "eighteen billion, seven hundred seventy-four million, ninety-six thousand".